Finding the Third Proportional to 109,269,853,388 and 243,664,387,207
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Solution
The third proportional to 109,269,853,388 and 243,664,387,207 is: 543,355,113,529.26
Step by Step Solution
- Step 1: Write the proportion equation
109,269,853,388 : 243,664,387,207 = 243,664,387,207 : x - Step 2: Convert to fraction form
109,269,853,388/243,664,387,207 = 243,664,387,207/x - Step 3: Cross multiply
109,269,853,388x = 243,664,387,207 × 243,664,387,207 - Step 4: Simplify right side
109,269,853,388x = 59,372,333,592,962,825,977,856 - Step 5: Solve for x
x = 59,372,333,592,962,825,977,856/109,269,853,388 - Step 6: Final answer
x = 543,355,113,529.26
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.